Finding the Fourth Proportional to 109.82, 164.38 and 78.95

Step by Step Solution

1. Step 1: Write the proportion equation
   109.82 : 164.38 = 78.95 : x
2. Step 2: Convert to fraction form
   109.82/164.38 = 78.95/x
3. Step 3: Cross multiply
   109.82x = 164.38 × 78.95
4. Step 4: Simplify right side
   109.82x = 12,977.80
5. Step 5: Solve for x
   x = 12,977.80/109.82
6. Step 6: Final answer
   x = 118.17